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3 years ago

Create your own factorable polynomial with a GCF. Rewrite that polynomial in two other equivalent

Mathematics

1 answer:

Usimov [2.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

2x^2+10x+12 greatest common factor is 2

2(x^2+5x+6)=

2(x+2)(x+3)

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What is an equation of the line that passes through the points (0,7) and (5,4? Put your answer in fully reduced form.

gregori [183]

Answer (assuming it can be in slope-intercept format):

$y = -\frac{3}{5} x+7$

Step-by-step explanation:

When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or $y = mx + b$ .

1) First, find the slope of the equation. Use the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ , to find the slope. Substitute the x and y values of the given points into the formula and simplify:

$m = \frac{(4)-(7)}{(5)-(0)} \\m = \frac{4-7}{5-0} \\m = \frac{-3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation $y = mx + b$ . Substitute $m$ and $b$ for real values.

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place in the equation. Since $b$ represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:

$y = -\frac{3}{5} x+7$

4 0

3 years ago

An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation

Lelu [443]

Answer:

The inequality $f>40$ represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

$h=60+2.5f$

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

$h>160$

$60+2.5f>160$

Substract 60 from both sides.

$2.5f>100$

Divide both sides by 2.5.

$f>40$

Therefore the inequality $f>40$ represents the lengths of the femur for which the woman had a height greater than 160cm.

5 0

4 years ago

Lucilla wondered what the average weight of each orange was in a five-pound bag of oranges. she purchased six bags and calculate

Kaylis [27]

Answer:
6.9 oz and 8.1 oz

Explanation:
The data collected by Lucilla is as follows:
7.1 oz
6.9 oz
7.3 oz
7.6 oz
8.1 oz
7.5 oz

We need to put this data in order, this will give us:
6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1

We can note that:
smallest value is 6.9 oz
largest value is 8.1 oz
all other values fall in this range

Therefore, the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz

Hope this helps :)

5 0

4 years ago

Read 2 more answers

Evaluate 8a - 1 + 0.5b when a= 1/4 and b=10.

nikitadnepr [17]

Answer:

Step-by-step explanation:

Substitute 1/4 with 8a. 8/4=2

Next, Substitute 10 for 0.5. 10/2=5

Finally, find the sum

(2-1)+5

6 0

3 years ago

Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes shoul

Dafna1 [17]

Answer:

253 boxes

Step-by-step explanation:

757/3 = 252.33

3 0

3 years ago

Read 2 more answers